I work in IT so I’m sure I can shed some light on this…
First off yes and very easily!
1. All your visited sites will be stored in the history, this can be erased no matter which browser your using however some are easier to remove the full history from than others.
2. There will be cookies on your computer left there by many sites so these will tell a story
3. The browser cache will hold text and mostly images of all the sites you visit most frequently over a set period of time (this makes page loading faster
There are other ways but these are the main easy to access methods, I’m sure if you’ve been given a company laptop then they trust you enought that there not gonna go snooping at your usage but who knows.
Best way around it would be to either erase the history of better yet use a portable copy of a browser you can run directly off of a usb stick, see
http://portableapps.com/apps/internet/firefox_portable
(also bear in mind if your using the laptop over a work connection they can see what your doing even if you erase all the information after, in which case you will need to search using
https://encrypted.google.com/ or https://duckduckgo.com/ however the resulting website you visit will be visible over the network…phew